Geometry; Physics; Philosophy

  • Detlef Laugwitz
Part of the Modern Birkhäuser Classics book series (MBC)


Geometry, physics, and philosophy are, at least at first sight, different disciplines, but in Riemann’s case they are closely related and thus belong in one chapter. Riemann discussed their mutual relations in his habilitation lecture “Über die Hypothesen die der Geometrie zu Grunde liegen” (“On the hypotheses which lie at the foundation of geometry”) (W. 272–287), presented in the summer of 1854.


Riemannian Geometry Euclidean Geometry Riemannian Space Tensor Analysis Intrinsic Geometry 
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Detlef Laugwitz
    • 1
  1. 1.Department of MathematicsTechnische HochschuleDarmstadtGermany

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